Explanation

From the diagram above, using cosine's law

Cos \(\theta\) = \(\frac{10^2 + 12^2 - 15^2}{2 \times 10 \times 12}\)

Cos \(\theta\) = \(\frac{100 + 144 - 225}{2 \times 10 \times 12}\) = \(\frac{244 - 225}{240}\)

= \(\frac{19}{240}\) = 0.0791667

\(\theta\) = Cos\(^{-1}\)(0.0791667) = 85.459º

But the angle between the two vectors = 180º - \(\theta\) = 180º - 85.459º = 94.54º

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